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Finding the Fourth Proportional to 32,522.64, 48,784.08 and 7,898.64

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Solution

The fourth proportional to 32,522.64, 48,784.08 and 7,898.64 is: 11,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.64 : 48,784.08 = 7,898.64 : x
  2. Step 2: Convert to fraction form
    32,522.64/48,784.08 = 7,898.64/x
  3. Step 3: Cross multiply
    32,522.64x = 48,784.08 × 7,898.64
  4. Step 4: Simplify right side
    32,522.64x = 385,327,885.65
  5. Step 5: Solve for x
    x = 385,327,885.65/32,522.64
  6. Step 6: Final answer
    x = 11,847.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.